Sequence of period doublings and chaotic pulsations in a free boundary problem modeling thermal instabilities

M. Frankel, V. Roytburd, G. Sivashinsky

Research output: Contribution to journalArticlepeer-review

Abstract

A simplified one-sided model associated with combustion and some phase transitions has been solved numerically. The results show a transition from the basic uniform motion of the free boundary to chaotic pulsations via periodic oscillations and a clearly manifested sequence of period doublings. For both numerical and rigorous treatment, the free boundary problem presents clear advantages over the two commonly used classes of models: the free interface (two-sided) models and the models with distributed kinetics. It is argued that, in view of its generic nature and relative simplicity, the problem may serve as a canonical example of the thermal instability leading to a variety of self-oscillatory regimes.

Original languageEnglish
Pages (from-to)1101-1112
Number of pages12
JournalSIAM Journal on Applied Mathematics
Volume54
Issue number4
DOIs
StatePublished - 1994
Externally publishedYes

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